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LCM of 113, 221, 949, 184

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 113, 221, 949, 184 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 113, 221, 949, 184. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,221,949,184

Given numbers are 113,221,949,184

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 113,221,949,184 is 335437336.

Find LCM of 113,221,949,184 with Prime Factorization


13 113, 221, 949, 184
113, 17, 73, 184

Multiply the prime numbers at the bottom and the left side.

13 x 113 x 17 x 73 x 184 = 335437336

Therefore, the lowest common multiple of 113,221,949,184 is 335437336.

LCM Formula to Find Lowest Common Multiple of 113,221,949,184

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

113 x 221 x 949 x 184 = 4360685368

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

113 : 1, 113

221 : 1, 13, 17, 221

949 : 1, 13, 73, 949

184 : 1, 2, 4, 8, 23, 46, 92, 184

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,221,949,184, is 1.

Now, the common factors can be found like this.

113:113

221:13x 17

949:13x 73

184:2x 2x 2x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4360685368/(1x13)

LCM = 4360685368/13

LCM = 335437336

Thus, we can understand that the LCM of 113,221,949,184 is 335437336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 221, 949, 184

1. What is the LCM of 113, 221, 949, 184?

Answer: LCM of 113, 221, 949, 184 is 335437336.

2. How to calculate the LCM of 113, 221, 949, 184?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 113, 221, 949, 184.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.